Results 21 to 30 of about 1,679 (224)

Computational guidance using sparse Gauss-Hermite quadrature differential dynamic programming [PDF]

, 2019
This paper proposes a new computational guidance algorithm using differential dynamic programming and sparse Gauss-Hermite quadrature rule. By the application of sparse Gauss-Hermite quadrature rule, numerical differentiation in the calculation of ...
He, Shaoming, Tsourdos, Antonios, Shin, Hyo-Sang   +2 more
core   +1 more source

Numerical Approximation of Riccati Fractional Differential Equation in the Sense of Caputo-Type Fractional Derivative

Journal of Mathematics, 2020
The Riccati differential equation is a well-known nonlinear differential equation and has different applications in engineering and science domains, such as robust stabilization, stochastic realization theory, network synthesis, and optimal control, and ...
Xin Liu, Kamran, Yukun Yao
doaj   +1 more source

Gauss Quadrature Method for System of Absolute Value Equations

, 2023
In this paper, an iterative method was considered for solving the absolute value equation (AVE). We suggest a two-step method in which the well-known Gauss quadrature rule is the corrector step and the generalized Newton method is taken as the predictor ...
Javed Iqbal, Muhammad Arif, Faiqa Riaz, Lei Shi   +3 more
core   +1 more source

Further convergence results for two quadrature rules for Cauchy type principal value integrals [PDF]

, 1982
summary:New convergence and rate-of-convergence results are established for two well-known quadrature rules for the numerical evaluation of Cauchy type principal value integrals along a finite interval, namely the Gauss quadrature rule and a similar ...
Ioakimidis, Nikolaos I.
core   +1 more source

Discrete Mixed Petrov-Galerkin Finite Element Method for a Fourth-Order Two-Point Boundary Value Problem

International Journal of Mathematics and Mathematical Sciences, 2012
A quadrature-based mixed Petrov-Galerkin finite element method is applied to a fourth-order linear ordinary differential equation. After employing a splitting technique, a cubic spline trial space and a piecewise linear test space are considered in the ...
L. Jones Tarcius Doss, A. P. Nandini
doaj   +1 more source

Frequency study of functionally graded multilayer graphene platelet-reinforced polymer cylindrical panels

Archives of Mechanics, 2021
In this study, nonlinear fundamental natural frequencies of Functionally Graded (FG) multilayer Graphene Platelet-reinforced Polymer Composite (GPL-RPC) curved cylindrical panels are studied.
T. Farsadi, D. Asadi, H. Kurtaran
doaj   +1 more source

Application of the quadrature-difference method for solving Fredholm integro-differential equations [PDF]

, 2015
Application of the quadrature-difference method for solving Fredholm integro-differential equations (FIDEs) is presented in this paper. The FIDEs will be discretized by using the combinations of Simpsons quadrature rule with finite difference. The method
C. Jalius, Jalius, Chriscella, Z.A. Majid, Abdul Majid, Zanariah   +3 more
core   +1 more source

Numerical algorithms for multidimensional time-fractional wave equation of distributed-order with a nonlinear source term

Advances in Difference Equations, 2018
Fractional differential equations (FDEs) of distributed-order are important in depicting the models where the order of differentiation distributes over a certain range.
Jiahui Hu, Jungang Wang, Yufeng Nie
doaj   +1 more source

Simultaneous approximation of a function and its derivatives by Sobolev polynomials: Applications in satellite geodesy and precise orbit determination for LEO CubeSats

Geodesy and Geodynamics, 2020
The objectives of this paper are twofold: (1) to present a new method of approximation such that the function and some of its derivatives are simultaneously approximated; and (2) to investigate the potential applications of this new method in the field ...
M. Kiani
doaj   +1 more source

Size Dependent Buckling Analysis of a FG-CNTRC Microplate of Variable Thickness under Non-Uniform Biaxial Compression

Buildings, 2022
This paper combines third-order shear deformation theory (TSDT) and modified couple stress theory (MCST) with the principle of total potential energy to analyze the size-dependent buckling behavior of a functionally graded carbon nanotube-reinforced ...
Pouyan Roodgar Saffari, William Sher, Chanachai Thongchom   +2 more
doaj   +1 more source